96 METHODrS CENERJLIS 



' -. Ergo "- — -, : — I 



I. 2. 3 1.2.3 n 2 «v 



I I. 2 i.2.3---(,;;-i) 2 



.v"* 



— , ex qua acqiiatioiie j- inucnictur. Erit 



1.2.3 " 



— 1 L —1 



^X^ 2.V 2 1.2. 3---« 



— J. 



Ponatur 1.2.3. nzizK^ crit porro ( i — 2 v )7 .v '^ 



j^.v~4..v - — — — -^-^^ . Sumina progrcr.ionis pro- 



.v^ A 



pofitae in infinitum continuatae vcro dcfinictur cx ifta 

 aequatione Jx g.y</v — ^^^-^ ^- ; quae diffcrentiata dat 



x^ix — tT— 2jci'av^ ♦ ^^" xax-\-2. 



X' dx - s xdx — 2 .f .V - dx — x d s -\- z x- d s :^o. Qji.ic 



, . , , , , sd.x{ 1 -^Zx) dx{\-i-2x) /->. 



reducitur ad hanc </j-4- ^^-^x — t^Tx"' v!.»ae 



multiplicata per ; fit intcgrabihs, piodit autcm 



, X 



rjlj ^IjZ1^:J±^ = '1 I. Atqnc hinc s^i 



I-2V ;;i — 2.VJ^ I — 2.V 



— c* ( r - 2.V). Q\\xxc \\ fuerit x — ; crit s~\. Adcoquc 



^^-hi-^i^-^rh^-^-r^^-T6 -l-cfc. in infm. 



§. 21. Ex his apparet ad quas psogtcfijoncs fum-- 

 mandis m^thodus hic diflcrtationc cxpofita fc exrcndat: 

 lciiicct ad omncs eas progrcdloRcs , quac compichen- 



duntur 



